Abstract
Relay selection, power control and bandwidth allocation for relay nodes are the key issues in exploiting the advantage of cooperative relaying in wireless networks. In this paper, an effective bandwidth resource sharing scheme is proposed for relay-aided cellular networks. Considering a user equipment (UE) can act as a data source as well as a potential relay for other UEs, and a selfish UE is willing to share its resource for relaying purpose only if the cost can be recovered by the payment of the source UEs, we can formulate this cooperative resource sharing problem as an economic market model. Then, the demand-and-supply theory is employed to derive the equilibrium point (EP, i.e., the optimal price charged by the relay UE and the optimal resource purchased by the source) of the market. To assist the UEs to achieve the EP in decentralized network environments, an effective distributed algorithm, based on the excess demand theory, is developed to approach the EP in an iterative manner. Simulation results show that the proposed algorithm is stability as it can converge to the EP after several (\(<\)15) times iterative computations.
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References
Cao, J., Zhang, T., Zeng, Z., et al. (2014). Multi-relay selection schemes based on evolutionary algorithm in cooperative relay networks. International Journal of Communication Systems, 27(4), 571–591.
3GPP TR 36.814, Further advancement for E-UTRA physical layer aspects. v1.5.2, December 2009.
Etezadi, F., Zarifi, K., Ghrayeb, A., et al. (2012). Decentralized relay selection schemes in uniformly distributed wireless sensor networks. IEEE Transactions on Wireless Communications, 11(3), 938–951.
Li, Y., Wang, P., Niyato, D., & Zhuang, W. (2011). A dynamic relay selection scheme for mobile users in wireless relay networks. In: Proceedings of IEEE INFOCOM, Shanghai, China (pp. 256–260).
Doumi, T., Dolan, M. F., Tatesh, S., et al. (2013). LTE for public safety networks. IEEE Communications Magazine, 51(2), 106–112.
Himsoon, T., Siriwongpairat, W., Han, Z., & Liu, K. J. R. (2007). Lifetime maximization framework by cooperative nodes and relay deployment in wireless networks. IEEE Journal on Selected Areas in Communication, 25(2), 306–317.
Lee, J. K., Noh, H. J., & Lim, J. (2014). TDMA-based cooperative MAC protocol for multi-hop relaying networks. IEEE Communications Letters, 18(3), 435–438.
Zhang, G., Yang, K., Liu, P., et al. (2012). Joint channel bandwidth and power allocation game for selfish cooperative relaying networks. IEEE Transactions on Vehicular Technology, 61(9), 4142–4156.
Felegyhazi, M., & Hubaux, J. P. (2006). Nash equilibria of packet forwarding strategies in wireless ad hoc networks. IEEE Transactions on Mobile Computing, 5(5), 463–476.
Cong, L., Zhao, L., Zhang, H., et al. (2011). Pricing-based game for bandwidth allocation in multi-relay cooperative transmission networks. IET Communications, 5(4), 563–573.
Liu, X., Wang, G., & Zhang, C. (2014). A Nash-bargaining-solution based cooperation scheme for rational cooperative communication networks. Information Technology Journal, 13(10), 1743–1748.
Duan, L., Gao, L., & Huang, J. (2014). Cooperative bandwidth sharing: A contract-based approach. IEEE Transactions on Mobile Computing, 13(1), 174–187.
Niyato, D., & Hossain, E. (2007). Hierarchical bandwidth sharing in cognitive radio: A microeconomic approach. In: Proceedings of IEEE wireless communications and networking conference (WCNC) (pp. 3822–3826).
Cheng, S. T., Hsieh, M. T., & Chen, B. F. (2010). Fairness-based scheduling algorithm for time division duplex mode IEEE 802.16 broadband wireless access systems. IET Communications, 4(9), 1065–1072.
Zhang, G., Yang, K., Liu, P., et al. (2011). Achieving user cooperation diversity in TDMA-based wireless networks using cooperative game theory. IEEE Communications Letters, 15(2), 154–156.
Bayat, S., Li, Y., Han, Z., et al. (2014). Distributed massive wireless access for cellular machine-to-machine communication. In: Proceedings of IEEE international conference on communications (ICC) (pp. 2767–2772).
Hlavácek, J., & Hlavácek, M. (2014). Generalized microeconomics. Chicago: University of Chicago Press.
Giupponi, L., & Ibars, C. (2009). Distributed cooperation among cognitive radios with complete and incomplete information. EURASIP Journal on Advanced Signal Processing, 2009, 1–13.
Acknowledgments
This work is supported by the China Fundamental Research Funds for the Central Universities (No. 2014QNA82), the National Nature Science Foundation of China (No. 61471361), the Post-Doctoral Fellowship Program of the China Scholarship Council (No.2900759643), and the Shenzhen S&T Innovation Project (No.JCYJ20140610151856732).
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Zhang, G., Yang, K. & Liu, P. A Distributed Algorithm for Bandwidth Resource Sharing in Relay-Aided Wireless Cellular Networks: From the Perspective of Economic Equilibrium Theory. Wireless Pers Commun 82, 435–449 (2015). https://doi.org/10.1007/s11277-014-2234-9
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DOI: https://doi.org/10.1007/s11277-014-2234-9